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@@ -27,17 +27,17 @@ class GraphState(object): |
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def add_node(self, node, **kwargs): |
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""" Add a node. |
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:param node: The name of the node, e.g. ``9``, ``start`` |
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:type node: Any hashable type |
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:param kwargs: Any extra node attributes |
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Example of using node attributes :: |
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>>> g.add_node(0, label="fred", position=(1,2,3)) |
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>>> g.node[0]["label"] |
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fred |
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""" |
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assert not node in self.node, "Node {} already exists".format(v) |
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self.adj[node] = {} |
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@@ -55,7 +55,7 @@ class GraphState(object): |
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:param circuit: An iterable containing tuples of the form ``(node, operation)``. If ``operation`` is a name for a local operation (e.g. ``6``, ``hadamard``) then that operation is performed on ``node``. If ``operation`` is ``cz`` then a CZ is performed on the two nodes in ``node``. |
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Example (makes a Bell pair):: |
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>>> g.act_circuit([(0, "hadamard"), (1, "hadamard"), ((0, 1), "cz")]) |
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""" |
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@@ -93,17 +93,22 @@ class GraphState(object): |
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for n in v) |
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return tuple(edges) |
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def remove_vop(self, a, avoid): |
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""" Reduces VOP[a] to the identity """ |
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others = set(self.adj[a]) - {avoid} |
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def remove_vop(self, node, avoid): |
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""" Attempts to remove the vertex operator on a particular qubit. |
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:param node: The node whose vertex operator should be reduced to the identity. |
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:param avoid: We will try to leave this node alone during the process (if possible). |
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""" |
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others = set(self.adj[node]) - {avoid} |
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if self.deterministic: |
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swap_qubit = min(others) if others else avoid |
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else: |
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swap_qubit = others.pop() if others else avoid |
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for v in reversed(clifford.decompositions[self.node[a]["vop"]]): |
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for v in reversed(clifford.decompositions[self.node[node]["vop"]]): |
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if v == "x": |
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self.local_complementation(a, "U ->") |
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self.local_complementation(node, "U ->") |
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else: |
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self.local_complementation(swap_qubit, "V ->") |
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@@ -122,7 +127,7 @@ class GraphState(object): |
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""" Act a local rotation on a qubit |
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:param node: The index of the node to act on |
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:param operation: The Clifford-group operation to perform. |
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:param operation: The Clifford-group operation to perform. You can use any of the names in the :ref:`Clifford group alias table <clifford>`. |
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""" |
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rotation = clifford.by_name[str(operation)] |
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self.node[node]["vop"] = clifford.times_table[ |
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@@ -165,15 +170,17 @@ class GraphState(object): |
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if new_edge != edge: |
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self._toggle_edge(a, b) |
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def measure(self, node, basis, force=None): |
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""" Measure in an arbitrary basis |
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def measure(self, node, basis, force=None, detail=False): |
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""" Measure in an arbitrary basis |
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:param node: The name of the qubit to measure. |
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:param basis: The basis in which to measure. |
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:type basis: :math:`\in` ``{"px", "py", "pz"}`` |
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:param force: Measurements in quantum mechanics are probabilistic. If you want to force a particular outcome, use the ``force``. |
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:type force: boolean |
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:param detail: Provide detailed information |
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:type detail: boolean |
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""" |
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basis = clifford.by_name[basis] |
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ha = clifford.conjugation_table[self.node[node]["vop"]] |
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@@ -186,11 +193,11 @@ class GraphState(object): |
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result = not result |
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if basis == clifford.by_name["px"]: |
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result = self._measure_x(node, result) |
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result, determinate = self._measure_graph_x(node, result) |
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elif basis == clifford.by_name["py"]: |
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result = self._measure_y(node, result) |
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result, determinate = self._measure_graph_y(node, result) |
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elif basis == clifford.by_name["pz"]: |
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result = self._measure_z(node, result) |
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result, determinate = self._measure_graph_z(node, result) |
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else: |
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raise ValueError("You can only measure in {X,Y,Z}") |
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@@ -198,7 +205,51 @@ class GraphState(object): |
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if phase == -1: |
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result = not result |
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return result |
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if detail: |
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return {"result": int(result), |
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"determinate": (determinate or force!=None), |
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"conjugated_basis": basis, |
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"phase": phase, |
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"node": node, |
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"force": force} |
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else: |
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return int(result) |
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def measure_x(self, node, force=None, detail=False): |
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""" Measure in the X basis |
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:param node: The name of the qubit to measure. |
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:param force: Measurements in quantum mechanics are probabilistic. If you want to force a particular outcome, use the ``force``. |
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:type force: boolean |
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:param detail: Provide detailed information |
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:type detail: boolean |
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""" |
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return self.measure(node, "px", force, detail) |
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def measure_y(self, node, force=None, detail=False): |
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""" Measure in the Y basis |
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:param node: The name of the qubit to measure. |
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:param force: Measurements in quantum mechanics are probabilistic. If you want to force a particular outcome, use the ``force``. |
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:type force: boolean |
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:param detail: Provide detailed information |
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:type detail: boolean |
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""" |
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return self.measure(node, "py", force, detail) |
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def measure_z(self, node, force=None, detail=False): |
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""" Measure in the Z basis |
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:param node: The name of the qubit to measure. |
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:param force: Measurements in quantum mechanics are probabilistic. If you want to force a particular outcome, use the ``force``. |
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:type force: boolean |
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:param detail: Provide detailed information |
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:type detail: boolean |
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""" |
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return self.measure(node, "pz", force, detail) |
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def _toggle_edges(self, a, b): |
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""" Toggle edges between vertex sets a and b """ |
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@@ -211,10 +262,10 @@ class GraphState(object): |
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done.add((j, i)) |
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self._toggle_edge(i, j) |
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def _measure_x(self, node, result): |
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""" Measure the graph in the X-basis """ |
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def _measure_graph_x(self, node, result): |
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""" Measure the bare graph in the X-basis """ |
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if len(self.adj[node]) == 0: |
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return 0 |
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return 0, True |
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# Pick a vertex |
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if self.deterministic: |
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@@ -247,10 +298,10 @@ class GraphState(object): |
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for n in a - {friend}: |
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self._toggle_edge(friend, n) |
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return result |
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return result, False |
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def _measure_y(self, node, result): |
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""" Measure the graph in the Y-basis """ |
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def _measure_graph_y(self, node, result): |
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""" Measure the bare graph in the Y-basis """ |
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# Do some rotations |
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for neighbour in self.adj[node]: |
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self._update_vop(neighbour, "sqz" if result else "msqz") |
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@@ -260,13 +311,12 @@ class GraphState(object): |
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for i, j in it.combinations(vngbh, 2): |
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self._toggle_edge(i, j) |
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# TODO: naming: # lcoS.herm_adjoint() if result else lcoS |
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self._update_vop(node, 5 if result else 6) |
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# TODO: naming: # lcoS.herm_adjoint() if result else |
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# lcoS |
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return result |
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return result, False |
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def _measure_z(self, node, result): |
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""" Measure the graph in the Z-basis """ |
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def _measure_graph_z(self, node, result): |
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""" Measure the bare graph in the Z-basis """ |
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# Disconnect |
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for neighbour in tuple(self.adj[node]): |
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self._del_edge(node, neighbour) |
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@@ -280,7 +330,7 @@ class GraphState(object): |
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else: |
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self._update_vop(node, "hadamard") |
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return result |
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return result, False |
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def order(self): |
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""" Get the number of qubits """ |
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@@ -302,11 +352,11 @@ class GraphState(object): |
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def to_json(self, stringify=False): |
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""" Convert the graph to JSON-like form. |
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:param stringify: JSON keys must be strings, But sometimes it is useful to have a JSON-like object whose keys are tuples. |
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If you want to dump a graph do disk, do something like this:: |
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>>> import json |
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>>> with open("graph.json") as f: |
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json.dump(graph.to_json(True), f) |
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@@ -326,15 +376,15 @@ class GraphState(object): |
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# TODO |
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def to_state_vector(self): |
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""" Get the full state vector corresponding to this stabilizer state. Useful for debugging, interface with other simulators. |
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""" Get the full state vector corresponding to this stabilizer state. Useful for debugging, interface with other simulators. |
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This method becomes very slow for more than about ten qubits! |
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The output state is represented as a ``abp.qi.CircuitModel``:: |
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>>> print g.to_state_vector() |
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|00000>: 0.18+0.00j |
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|00001>: 0.18+0.00j ... |
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.. todo:: |
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Doesn't work with non-``int`` node labels |
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@@ -370,6 +420,14 @@ class GraphState(object): |
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""" Check equality between GraphStates """ |
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return self.adj == other.adj and self.node == other.node |
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def copy(self): |
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""" Make a copy of this graphstate """ |
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g = GraphState() |
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g.node = self.node.copy() |
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g.adj = self.adj.copy() |
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g.deterministic = self.deterministic |
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return g |
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if __name__ == '__main__': |
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g = GraphState() |
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g.add_nodes(range(10)) |
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